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GCD of 977, 589, 208 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 977, 589, 208 quickly. Get the easiest ways to solve the greatest common divisor of 977, 589, 208 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 977, 589, 208 with Factoring?

Given Input numbers are 977, 589, 208

In the factoring method, we have to find the divisors of all numbers

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208


GCD of numbers is the greatest common divisor

So, the GCD (977, 589, 208) = 1.

Find GCD of 977, 589, 208 using Prime Factorization

Given numbers are 977, 589, 208

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 589 are 19 x 31

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 977, 589, 208 using LCM Formula

Given numbers are 977, 589, 208

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(977, 589) = 575453

GCD(977, 589) = ( 977 x 589 ) / 575453

= 977 / 589

= 977


Step2:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1


So, Greatest Common Divisor of 977, 589, 208 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 977, 589, 208

Given numbers are 977, 589, 208
The greatest common divisor of numbers 977, 589, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 589, 208 is 1.

FAQs on GCD of 977, 589, 208 Calculator

1. What is the GCD of 977, 589, 208?

GCD of given numbers 977, 589, 208 is 1


2. How to calculate the greatest common divisor of 977, 589, 208?

We can find the highest common divisor of 977, 589, 208 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 977, 589, 208 i.e 1.


3. How can I use the GCD of 977, 589, 208Calculator?

Out the numbers 977, 589, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.